Question

Which sequence could be described by the explicit definition: t_n=2^n+1t n = 2 n + 1

Answer 1

*100% CORRECT ANSWERS

Answer 2

Answer:

2. 27

3. Option C. 3, 5, 9, 17, 33, ...

Step-by-step explanation:

2. The sequence is defined by the explicit function $t_{n} = 2^{n} - n$

Therefore, the 5th term i.e. $t_{5}$ of the sequence.

$t_{5} = 2^{5} - 5 = 32 - 5 = 27$ (Answer)

3. The explicit definition is $t_{n} = 2^{n} + 1$

Hence, $t_{1} = 2^{1} + 1 = 3$

$t_{2} = 2^{2} + 1 = 5$

$t_{3} = 2^{3} + 1 = 9$

$t_{4} = 2^{4} + 1 = 17$

Therefore, the option C is the right sequence. (Answer)